When this curve rotates about x axis it will look like a trapeziod with radius of 1 unit (√(2-1))at one end and radius of 4 units (√(5-1)) at another end with height of 3 units (5-2=3_like a chopped off cone.
You can use calculus
volume of an infinite thin disc of thixkness dx with radius r = πr2
r varies as y=√(x-1)
so volume of infinite thin disc = π(√(x-1))2dx = π (x-1)dx
Total volume = integrate this expression from x = 2 to x=5
total vulome = Π( x2/2 - x) with x varying from 2 to 5
so total volume = Π ((52/2 - 5) - (22/2 - 2)) = 7.5Π = 23.55 cubic units